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Finding the Fourth Proportional to 317,421.95, 438,041.07 and 174,184.38

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Solution

The fourth proportional to 317,421.95, 438,041.07 and 174,184.38 is: 240,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,421.95 : 438,041.07 = 174,184.38 : x
  2. Step 2: Convert to fraction form
    317,421.95/438,041.07 = 174,184.38/x
  3. Step 3: Cross multiply
    317,421.95x = 438,041.07 × 174,184.38
  4. Step 4: Simplify right side
    317,421.95x = 76,299,912,192.49
  5. Step 5: Solve for x
    x = 76,299,912,192.49/317,421.95
  6. Step 6: Final answer
    x = 240,373.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.